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Finding the Fourth Proportional to 264,823.56, 397,110.48 and 96,225

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Solution

The fourth proportional to 264,823.56, 397,110.48 and 96,225 is: 144,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,823.56 : 397,110.48 = 96,225 : x
  2. Step 2: Convert to fraction form
    264,823.56/397,110.48 = 96,225/x
  3. Step 3: Cross multiply
    264,823.56x = 397,110.48 × 96,225
  4. Step 4: Simplify right side
    264,823.56x = 38,211,955,938
  5. Step 5: Solve for x
    x = 38,211,955,938/264,823.56
  6. Step 6: Final answer
    x = 144,292.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.